Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 1526 and 1529 the smallest integer that is 2333254 that is divisible by both numbers.
Least Common Multiple (LCM) of 1526 and 1529 is 2333254.
LCM(1526,1529) = 2333254
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 1526 and 1529. First we will calculate the prime factors of 1526 and 1529.
Prime Factorization of 1526
2 | 1526 |
7 | 763 |
109 | 109 |
1 |
Prime factors of 1526 are 2, 7,109. Prime factorization of 1526 in exponential form is:
1526 = 21×71×1091
Prime Factorization of 1529
11 | 1529 |
139 | 139 |
1 |
Prime factors of 1529 are 11,139. Prime factorization of 1529 in exponential form is:
1529 = 111×1391
Now multiplying the highest exponent prime factors to calculate the LCM of 1526 and 1529.
LCM(1526,1529) = 21×71×111×1091×1391
LCM(1526,1529) = 2333254
Factors of 1526
List of positive integer factors of 1526 that divides 1526 without a remainder.
1, 2, 7, 14, 109, 218, 763, 1526
Factors of 1529
List of positive integer factors of 1529 that divides 1529 without a remainder.
1, 11, 139, 1529
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1526 and 1529, than apply into the LCM equation.
GCF(1526,1529) = 1
LCM(1526,1529) = ( 1526 × 1529) / 1
LCM(1526,1529) = 2333254 / 1
LCM(1526,1529) = 2333254
(i) The LCM of 1529 and 1526 is associative
LCM of 1526 and 1529 = LCM of 1529 and 1526
1. What is the LCM of 1526 and 1529?
Answer: LCM of 1526 and 1529 is 2333254.
2. What are the Factors of 1526?
Answer: Factors of 1526 are 1, 2, 7, 14, 109, 218, 763, 1526. There are 8 integers that are factors of 1526. The greatest factor of 1526 is 1526.
3. What are the Factors of 1529?
Answer: Factors of 1529 are 1, 11, 139, 1529. There are 4 integers that are factors of 1529. The greatest factor of 1529 is 1529.
4. How to Find the LCM of 1526 and 1529?
Answer:
Least Common Multiple of 1526 and 1529 = 2333254
Step 1: Find the prime factorization of 1526
1526 = 2 x 7 x 109
Step 2: Find the prime factorization of 1529
1529 = 11 x 139
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 2333254 = 2 x 7 x 11 x 109 x 139
Step 4: Therefore, the least common multiple of 1526 and 1529 is 2333254.